Sean has an annual shoe budget of $640. On average, a pair of Jordans cost $160, and a pair of Adidas cost $40.
Create an equation that represents the combinations of shoe purchases that allow Sean to stay in his budget.
Graph the equation for his budget.
Provide 2 combinations that use his entire budget, 1 combination that would be under budget, and 1 combination that would be over his budget.

Respuesta :

2 combinations using the entire budget would be 3 pairs of Jordans and 4 pairs of Adidas, and 2 pairs of Jordans and 8 pairs of Adidas; 1 combination under budget would be 2 pairs of Jordans and 4 pairs of Adidas; and 1 combination over budget would be 4 pairs of Jordans and 4 pairs of Adidas.

Given that Sean has an annual shoe budget of $ 640 and on average, a pair of Jordans cost $ 160, and a pair of Adidas cost $ 40, to provide 2 combinations that use his entire budget, 1 combination that would be under budget, and 1 combination that would be over his budget, the following calculations must be made:

Using the entire budget:

  • Combination 1 = 3 x 160 + 4 x 40 = 640 = 3 pairs of Jordans and 4 pairs of Adidas
  • Combination 2 = 2 x 160 + 8 x 40 = 640 = 2 pairs of Jordans and 8 pairs of Adidas
  • Combination 3 = 1 x 160 + 12 x 40 = 640 = 1 pair of Jordans and 12 pairs of Adidas

Under budget:

2 x 160 + 4 x 40 = 480 = 2 pairs of Jordans and 4 pairs of Adidas

Over budget:

4 x 160 + 4 x 40 = 800 = 4 pairs of Jordans and 4 pairs of Adidas

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